{"id":"https://openalex.org/W7213395602","doi":"https://doi.org/10.1080/10705511.2026.2705340","title":"When to Apply the Slope-to-Slope Path Time Centering? A Tutorial Guide for Parallel Process Latent Growth Curve Models","display_name":"When to Apply the Slope-to-Slope Path Time Centering? A Tutorial Guide for Parallel Process Latent Growth Curve Models","publication_year":2026,"publication_date":"2026-09-16","ids":{"openalex":"https://openalex.org/W7213395602","doi":"https://doi.org/10.1080/10705511.2026.2705340"},"language":"en","primary_location":{"id":"doi:10.1080/10705511.2026.2705340","doi":"https://doi.org/10.1080/10705511.2026.2705340","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10705511.2026.2705340","pdf_url":null,"source":{"id":"https://openalex.org/S78020522","display_name":"Structural Equation Modeling A Multidisciplinary Journal","issn_l":"1070-5511","issn":["1070-5511","1532-8007"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-c","erih-plus","jufo-1","ki-jl-1","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Structural Equation Modeling: A Multidisciplinary Journal","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5146911372","display_name":"Xiaoyu Yang","orcid":"https://orcid.org/0009-0000-9795-9063","observed_orcids":["https://orcid.org/0009-0000-9795-9063"]},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaoyu Yang","raw_affiliation_strings":["Texas A&M University"],"raw_orcid":"https://orcid.org/0009-0000-9795-9063","affiliations":[{"raw_affiliation_string":"Texas A&M University","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019979210","display_name":"Oi\u2010Man Kwok","orcid":"https://orcid.org/0000-0002-4617-4562","observed_orcids":["https://orcid.org/0000-0002-4617-4562"]},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Oi-Man Kwok","raw_affiliation_strings":["Texas A&M University"],"raw_orcid":"https://orcid.org/0000-0002-4617-4562","affiliations":[{"raw_affiliation_string":"Texas A&M University","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030270951","display_name":"Timothy Ross Elliott","orcid":"https://orcid.org/0000-0002-6608-7714","observed_orcids":["https://orcid.org/0000-0002-6608-7714"]},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Timothy R. Elliott","raw_affiliation_strings":["Texas A&M University"],"raw_orcid":"https://orcid.org/0000-0002-6608-7714","affiliations":[{"raw_affiliation_string":"Texas A&M University","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015075731","display_name":"Eunkyeng Baek","orcid":"https://orcid.org/0000-0002-4696-5524","observed_orcids":["https://orcid.org/0000-0002-4696-5524"]},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eunkyeng Baek","raw_affiliation_strings":["Texas A&M University"],"raw_orcid":"https://orcid.org/0000-0002-4696-5524","affiliations":[{"raw_affiliation_string":"Texas A&M University","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5019979210"],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.48170000314712524,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.48170000314712524,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10467","display_name":"Psychometric Methodologies and Testing","score":0.43650001287460327,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13283","display_name":"Mental Health Research Topics","score":0.04520000144839287,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/emotional-abuse","display_name":"emotional abuse","score":0.8029999732971191},{"id":"https://openalex.org/keywords/depressive-symptoms","display_name":"depressive symptoms","score":0.9779999852180481},{"id":"https://openalex.org/keywords/developmental-processes","display_name":"developmental processes","score":0.4259999990463257}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5964999794960022},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5877000093460083},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5248000025749207},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47269999980926514},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3582000136375427},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35409998893737793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33009999990463257},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3147999942302704},{"id":"https://openalex.org/C184389593","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Curve fitting","level":2,"score":0.2928999960422516},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2815999984741211},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26989999413490295},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.2651999890804291},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.25200000405311584},{"id":"https://openalex.org/C76956256","wikidata":"https://www.wikidata.org/wiki/Q27610560","display_name":"Process modeling","level":3,"score":0.25}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10705511.2026.2705340","doi":"https://doi.org/10.1080/10705511.2026.2705340","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10705511.2026.2705340","pdf_url":null,"source":{"id":"https://openalex.org/S78020522","display_name":"Structural Equation Modeling A Multidisciplinary Journal","issn_l":"1070-5511","issn":["1070-5511","1532-8007"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-c","erih-plus","jufo-1","ki-jl-1","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Structural Equation Modeling: A Multidisciplinary Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W130596010","https://openalex.org/W1913957972","https://openalex.org/W2026322198","https://openalex.org/W2050141335","https://openalex.org/W2053428620","https://openalex.org/W2067829136","https://openalex.org/W2071439821","https://openalex.org/W2079875205","https://openalex.org/W2340160080","https://openalex.org/W3015699427","https://openalex.org/W3033582606","https://openalex.org/W3081645707","https://openalex.org/W3136268553","https://openalex.org/W4200497868","https://openalex.org/W4249831151","https://openalex.org/W4324132707","https://openalex.org/W4362678550","https://openalex.org/W4392818049","https://openalex.org/W4399290508","https://openalex.org/W4400041560","https://openalex.org/W4401524458","https://openalex.org/W4406346659"],"related_works":["https://openalex.org/W2092825650","https://openalex.org/W2067829136","https://openalex.org/W3138284142","https://openalex.org/W3111897233","https://openalex.org/W2034486897","https://openalex.org/W2555765671","https://openalex.org/W4296482071","https://openalex.org/W6903804125","https://openalex.org/W7117732981","https://openalex.org/W2114840618"],"abstract_inverted_index":{"In":[0],"parallel":[1],"process":[2],"latent":[3],"growth":[4],"curve":[5],"models,":[6],"the":[7,10,20,35,42,56,86],"path":[8,64],"linking":[9],"rates":[11],"of":[12,14,23,37],"change":[13,32],"two":[15,52,97],"developmental":[16],"processes":[17],"is":[18,59],"often":[19],"primary":[21],"parameter":[22],"interest.":[24],"We":[25,40,95],"show":[26],"that":[27],"this":[28],"slope-to-slope":[29,57],"estimate":[30,87],"can":[31],"substantially":[33],"with":[34,91],"choice":[36],"time":[38,101,111],"centering.":[39],"derive":[41],"complete":[43],"transformation":[44],"for":[45],"all":[46],"four":[47],"cross-process":[48],"paths":[49],"and":[50,65,77,103,114,118],"identify":[51],"conditions":[53],"under":[54],"which":[55],"coefficient":[58],"distorted:":[60],"a":[61,66,82,104,110],"nonzero":[62,67],"intercept-to-slope":[63],"predictor":[68],"intercept\u2013slope":[69],"covariance.":[70],"Using":[71],"published":[72],"data":[73],"on":[74],"emotional":[75],"abuse":[76],"depressive":[78],"symptoms,":[79],"we":[80],"illustrate":[81],"71%":[83],"shift":[84],"in":[85],"across":[88],"centering":[89,102],"conditions,":[90],"identical":[92],"model":[93],"fit.":[94],"present":[96],"equivalent":[98],"approaches,":[99],"aperture-adjusted":[100],"uniqueness":[105],"factor":[106],"approach,":[107],"both":[108],"yielding":[109],"centering-invariant":[112],"estimate,":[113],"provide":[115],"annotated":[116],"Mplus":[117],"lavaan":[119],"syntax.":[120]},"counts_by_year":[],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2026-09-17T00:00:00"}